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Finding the Fourth Proportional to 2,135.78, 3,182.43 and 1,902.88

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Solution

The fourth proportional to 2,135.78, 3,182.43 and 1,902.88 is: 2,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.78 : 3,182.43 = 1,902.88 : x
  2. Step 2: Convert to fraction form
    2,135.78/3,182.43 = 1,902.88/x
  3. Step 3: Cross multiply
    2,135.78x = 3,182.43 × 1,902.88
  4. Step 4: Simplify right side
    2,135.78x = 6,055,766.49
  5. Step 5: Solve for x
    x = 6,055,766.49/2,135.78
  6. Step 6: Final answer
    x = 2,835.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.